Higher-order phase transitions with line-tension effect

Bernardo Galvão-Sousa

Displaying similar documents to “Higher-order phase transitions with line-tension effect”

Asymmetric heteroclinic double layers

Michelle Schatzman (2010)

ESAIM: Control, Optimisation and Calculus of Variations

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Let be a non-negative function of class C from $^{2}$ to , which vanishes exactly at two points and . Let (, ) be the set of functions of a real variable which tend to at -∞ and to at +∞ and whose one dimensional energy $E_{1} (v) = \int_{[W (v) + {| v^{'} |}^{2} / 2]} x$ is finite. Assume that there exist two isolated minimizers and of the energy over (, ). Under a mild coercivity condition on the potential and a generic spectral condition on the linearization...

Uniqueness of invariant product measures for elliptic infinite dimensional diffusions and particle spin systems

Alejandro F. Ramírez (2010)

ESAIM: Probability and Statistics

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Consider an infinite dimensional diffusion process process on , where is the circle, defined by the action of its generator on ) local functions as $L f (η) = \sum_{i \in 𝐙^{d}} (\frac{1}{2} a_{i} \frac{\partial^{2} f}{\partial η_{i}^{2}} + b_{i} \frac{\partial f}{\partial η_{i}})$ . Assume that the coefficients, and are smooth, bounded, finite range with uniformly bounded second order partial derivatives, that is only a function of $η_{i}$ and that ${inf}_{i, η} a_{i} (η) > 0$ . Suppose is an invariant product measure. Then, if is the Lebesgue measure or if ,...

Some problems in automata theory which depend on the models of set theory

Olivier Finkel (2012)

RAIRO - Theoretical Informatics and Applications

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We prove that some fairly basic questions on automata reading infinite words depend on the models of the axiomatic system ZFC. It is known that there are only three possibilities for the cardinality of the complement of an ω-language $L (𝒜)$ accepted by a Büchi 1-counter automaton $𝒜$ . We prove the following surprising result: there exists a 1-counter Büchi automaton $𝒜$ such that the cardinality of the complement $L {(𝒜)}^{-}$ of the ω-language...

A new (div)-conforming -interpolation operator in two dimensions

Alexei Bespalov, Norbert Heuer (2011)

ESAIM: Mathematical Modelling and Numerical Analysis

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In this paper we construct a new (div)-conforming projection-based -interpolation operator that assumes only () $\cap$ $\tilde{𝐇}$ (div, )-regularity ( > 0) on the reference element (either triangle or square) . We show that this operator is stable with respect to polynomial degrees and satisfies the commuting diagram property. We also establish an estimate for the interpolation error in the norm of the space $\tilde{𝐇}$ (div, ), which is closely...